Open AccessCalibration method for panoramic 3D shape measurement with plane mirrors
Author(s) -
Wei Yin,
Shijie Feng,
Tianyang Tao,
Lei Huang,
Song Zhang,
Qian Chen,
Chao Zuo
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.036538
Subject(s) - computer science , point cloud , calibration , computer vision , artificial intelligence , plane (geometry) , optics , virtual image , camera resectioning , image plane , curved mirror , plane mirror , reflection (computer programming) , projection (relational algebra) , structured light 3d scanner , fundamental matrix (linear differential equation) , point (geometry) , physics , algorithm , geometry , image (mathematics) , mathematics , scanner , quantum mechanics , programming language , mathematical analysis
High-speed panoramic three-dimensional (3D) shape measurement can be achieved by introducing plane mirrors into the traditional fringe projection profilometry (FPP) system because such a system simultaneously captures fringe patterns from three different perspectives (i.e., by a real camera and two virtual cameras in the plane mirrors). However, calibrating such a system is nontrivial due to the complicated setup. This work introduces a flexible new technique to calibrate such a system. We first present the mathematical representation of the plane mirror, and then mathematically prove that it only requires the camera to observe a set of feature point pairs (including real points and virtual points) to generate a solution to the reflection matrix of a plane mirror. By calibrating the virtual and real camera in the same world coordinate system, 3D point cloud data obtained from real and virtual perspectives can be automatically aligned to generate a panoramic 3D model of the object. Finally, we developed a system to verify the performance of the proposed calibration technique for panoramic 3D shape measurement.